The concentration of pollutants (in grams per liter) in the east fork of the Big Weasel River is approximated by P(x) = 0.04e^–4x, where x is the number of miles downstream from a paper mill that the measurement is taken. Find the following values.

a. The concentration of pollutants 0.5 mile downstream

b. The concentration of pollutants 1 mile downstream

c. The concentration of pollutants 2 miles downstream

Find the rate of change of concentration with respect to distance for the following distances.

d. 0.5 mile 

e. 1 mile 

f. 2 miles